Question: A university IT helpdesk estimates that during teaching weeks students arrive for service at an average rate of 5 students per hour. At present the

A university IT helpdesk estimates that during teaching weeks students arrive for service at an
average rate of 5 students per hour. At present the average service rate is 8 students per hour.
There is only one server. Assume Poisson arrivals, exponential service times and the M/M/1
model set-up.
a. The university does not want the average time spent waiting in the queue to exceed 15
minutes or for there to be more than an average of 3 students waiting in the queue. Will
these twin targets be met during teaching weeks?

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